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Finding the Fourth Proportional to 2,768.21, 3,820.05 and 1,589.25

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Solution

The fourth proportional to 2,768.21, 3,820.05 and 1,589.25 is: 2,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.21 : 3,820.05 = 1,589.25 : x
  2. Step 2: Convert to fraction form
    2,768.21/3,820.05 = 1,589.25/x
  3. Step 3: Cross multiply
    2,768.21x = 3,820.05 × 1,589.25
  4. Step 4: Simplify right side
    2,768.21x = 6,071,014.46
  5. Step 5: Solve for x
    x = 6,071,014.46/2,768.21
  6. Step 6: Final answer
    x = 2,193.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.